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Finding the Fourth Proportional to 6,395.99, 9,595.90 and 3,865.91

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Solution

The fourth proportional to 6,395.99, 9,595.90 and 3,865.91 is: 5,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.99 : 9,595.90 = 3,865.91 : x
  2. Step 2: Convert to fraction form
    6,395.99/9,595.90 = 3,865.91/x
  3. Step 3: Cross multiply
    6,395.99x = 9,595.90 × 3,865.91
  4. Step 4: Simplify right side
    6,395.99x = 37,096,837.79
  5. Step 5: Solve for x
    x = 37,096,837.79/6,395.99
  6. Step 6: Final answer
    x = 5,800.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.